A group of engineers developed a new design for a steel cable.They need to estimate the amount of weight the cable can hold. Theweight limit will be reported on cable packaging. The engineerstake a random sample of 40 cables and apply weights to each of themuntil they break. The 40 cables have a mean breaking weight of775.3 lb. The standard deviation of the breaking weight for thesample is 14.9 lb. Find the 90% confidence interval to estimate themean breaking weight for this type cable. ( , ) Your answer shouldbe rounded to 2 decimal places.